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Finding the Third Proportional to 19,496 and 41,318

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Solution

The third proportional to 19,496 and 41,318 is: 87,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496 : 41,318 = 41,318 : x
  2. Step 2: Convert to fraction form
    19,496/41,318 = 41,318/x
  3. Step 3: Cross multiply
    19,496x = 41,318 × 41,318
  4. Step 4: Simplify right side
    19,496x = 1,707,177,124
  5. Step 5: Solve for x
    x = 1,707,177,124/19,496
  6. Step 6: Final answer
    x = 87,565.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.